724828086920 has 128 divisors (see below), whose sum is σ = 1998959212800. Its totient is φ = 230990662656.

The previous prime is 724828086919. The next prime is 724828086929. The reversal of 724828086920 is 29680828427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (724828086929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003379 + ... + 1567298.

It is an arithmetic number, because the mean of its divisors is an integer number (15616868850).

Almost surely, 2^724828086920 is an apocalyptic number.

724828086920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

724828086920 is an abundant number, since it is smaller than the sum of its proper divisors (1274131125880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

724828086920 is a wasteful number, since it uses less digits than its factorization.

724828086920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570767 (or 2570763 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 56.

The spelling of 724828086920 in words is "seven hundred twenty-four billion, eight hundred twenty-eight million, eighty-six thousand, nine hundred twenty".